# Unique determination of the damping coefficient in the wave equation using point source and receiver data

## TL;DR

This paper proves the unique determination of the damping coefficient in the wave equation using data from a single source-receiver pair, under certain assumptions, advancing inverse problem theory.

## Contribution

It establishes the first uniqueness result for the damping coefficient in the wave equation with minimal data, requiring only a single source-receiver pair.

## Key findings

- Unique determination of damping coefficient proven
- Requires additional assumptions for under-determined problem
- Advances inverse problem understanding in wave equations

## Abstract

In this article, we consider the inverse problems of determining the damping coefficient appearing in the wave equation. We prove the unique determination of the coefficient from the data coming from a single coincident source-receiver pair. Since our problem is under-determined, so some extra assumption on the coefficient is required to prove the uniqueness.